If x is directly proportional to y, and x = 4.5 when y = 3, find

(i) an equation connecting x and y

(ii) the value of x when y = 6,

(iii) the value of y when x = 12.

Using relations in a right triangle, it is found that the height of the antenna is of 10 m.

The relations in a right triangle are given as follows:

In this problem, the vertical height from her eyes to the top of the antenna is the side opposite to the angle of 17º, while the adjacent side is the horizontal distance of 29 m, hence:

[tex]\tan{17^\circ} = \frac{h}{29}[/tex]

[tex]h = 29\tan{17^\circ}[/tex]

[tex]h = 8.87[/tex]

Adding the eye height:

h = 8.87 + 1.51 = 10.38 m.

Rounding to the nearest meter, the height of the antenna is of 10 m.

More can be learned about relations in a right triangle at https://brainly.com/question/26396675

Answer:

9

Step-by-step explanation:

I just took the test.

Rosa is correct. The perimeter of a parallelogram can be determined by  adding the two sides and doubling the sum.

A  parallelogram is a quadrilateral (a four-sided object) that is made up of parallel sides. Theopposite sides and angles are congruent .

The perimeter of the parallelogram is the distance round the shape. It is the sum of the four sides.

To learn more about the perimeter, please check: https://brainly.com/question/3205029

Step-by-step explanation:

16

SSS

17

SAS

18

SSS

19

AAS

20

ASA

Answer:

94.2 cm³

Step-by-step explanation:

Volume of cone= ⅓πr²h

Let's identify the radius of the base and the height of the cone!

r= 3 cm

h= 10 cm

Next, substitute r= 3 and h= 10 into the volume of cone formula.

Volume of cone

= ⅓(3.14)(3²)(10)

= 94.2 cm³

Answer: b

Step-by-step explanation:

Graphing the triangle, we can see that it will be right.

Answer:

A.

Mean-103.0625

Median- 8, 9

Mode- 8, 1

B.

They should use the shoe size 6, because it has the most women waering it.

Your Welcome!

Step-by-step explanation:

Mean:-

Median:-

Total terms 8

Median =n/2th term +(n/2+1)th term

Mode:-

No modes

The value of n will be 63, we converted the word to mathematical expression then found n

When we see the word "of" in a mathematic expression, it simply means multiplication

Hence we have the mathematical expression for the word in our example as

2/3*n = 42

re-write

2n/3 = 42

cross multiplying we have

2n = 42*3

2n = 126

divide both side by 2 we have

n = 126/2

n = 63

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Answer:

48 sq m

Step-by-step explanation:

Given quadrilateral is a parallelogram.

Here,

Base = 8 m

Height = 6 m

Area of parallelogram = Base * Height

-> Area = 8 * 6 = 48 sq m

Answer:

The answer is 40^1/2

Step-by-step explanation:

The square root's value is - 1/2

so  √4 = 4^1/2

Answer:

(3x+50)°=(6x-10)°

3x-6x= -10°-50°

-3x/-3 = -60/-3

x=20

Answer:

15

Step-by-step explanation:

500/35 approx 14.28

Always round up otherwise there won’t be enough

14.28 rounded up = 15

Answer:

6/11

Step-by-step explanation:

total number of coins = 11

number of blue coins = 6

p(blue) = 6/11

Answer:

heyy.

Step-by-step explanation:

Answer:

The answer to the linear function is

y = 1/2x + 4

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Volume of cone :

[tex]\qquad \sf  \dashrightarrow \: \frac{1}{3} \pi{r}^{2} h[/tex]

Now, let's plug in the values as per the diagram ~

[tex]\qquad \sf  \dashrightarrow \: \frac{1}{3} \times 3.14 \times {(18)}^{2} \times 10[/tex]

[tex]\qquad \sf  \dashrightarrow \: \frac{1}{3} \times 31.4 \times 324[/tex]

[tex]\qquad \sf  \dashrightarrow \: 31.4 \times108[/tex]

[tex]\qquad \sf  \dashrightarrow \:3391.2 \: \: ft {}^{3} [/tex]

Answer:

B) 216.80

Step-by-step explanation:

hope this helps.

Answer:

k = 2

Step-by-step explanation:

f(2) = 1
g(2) = 2

g(x) is double of f(x)

Answer:

c

Step-by-step explanation:

The correct symbol in between numbers is,

⇒ 4/5 > 1/2

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The numbers are,

⇒ 4/5 and 1/2

Now, We can make denominator equal as;

LCM of 5, 2 = 10

Hence, We get;

⇒ 4/5

⇒ 8/10

⇒ 1/2

⇒ 5/10

Thus, We get;

⇒ 4/5 > 1/2

Therefore, The correct symbol in between numbers is,

⇒ 4/5 > 1/2

Learn more about the inequality visit:

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Answer:

12,936

I hope this Answer your question

Answer:

100 m3

Step-by-step explanation:

2*5*10 = 10*10 *100

Now this question is a candidate for the Pythagorean Theorem :

According to the question (assuming that you're x miles away from your house) --

[tex]\implies{7}^{2} + {24}^{2} = {x}^{2} \\\implies625 = {x}^{2} \\\implies x = \sqrt{625} \\ \boxed{x = 25} [/tex]

(Rejecting x= - 25 because distance cannot be negative(atleast hypothetically))

We can classify triangles by their angles and their side lengths.

ANGLES:

---Acute = all angles in the triangle are less than 90 degrees

---Right = one angle in the triangle is equal to 90 degrees

---Obtuse = one angle in the triangle is greater than 90 degrees

SIDE LENGTHS:

---Equilateral = all side lengths of the triangle are the same

---Isosceles = two side lengths of the triangle are the same

---Scalene = no side lengths of the triangle are the same

In the given triangle, it has a right angle, which means that it must be a right triangle. Looking at the side lengths, none of them are the same (presumably), so it is also a scalene triangle.

Answer: right, scalene

Hope this helps!

Answer:

115

Step-by-step explanation:

41+24=65.

180-65=115

Answer:

0.35

Explanation:

Follow the branch B and then branch D

Answer:

0.35

Step-by-step explanation:

To find the probability of a sequence of events, multiply along the branches representing those events.

Therefore, P(B and D) = 0.5 x 0.7 = 0.35

** refer to the attached diagram **

Answer:

Step-by-step explanation:

Use a distributive property.

Distributive property:

[tex]\Longrightarrow: \sf{A(B+C)=AB+AC}[/tex]

⇒ 6(x-4)=10

First, divide by 6 from both sides.

⇒ 6(x-4)/6=10/6

Solve.

⇒ x-4=5/3

Add by 4 from both sides.

⇒ x-4+4=5/3+4

Solve.

5/3+4

4*3/3+5/3

4*3+5/3

4*3=12

12+5=17

x=17/3

Dividing is another option.

17/3=5.6

x=17/3=5.6

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

[tex]y=\frac{x-9}{-8}[/tex]

Step-by-step explanation:

1. change f(x) to y

2. switch x and y

[tex]x= -8y+9[/tex]

3. solve for y

[tex]x-9=-8y[/tex]

[tex]y= \frac{x-9}{-8}[/tex]

Answer: y = (9-x) / 8

Step-by-step explanation:

set f(x) = y

y = -8x + 9

to find inverse repalce all y values with x and x values with y then solve for y again

x = -8y + 9

x - 9 = -8y

y = (x-9) / -8

distribute -1 through the numerator and make 8 positive

y = -x+9/8

y = (9-x)/8

the sum of all interior angles in a polygon, regular or not is

now, this is an octagon, with 8 sides, so it has a total of interior angles of 180( 8 - 2) or 180(6) = 1080.

we know the sum of all BUT one is 776°, so the last one must be 1080° - 776° = 304°.

Answer: 15 ft

Step-by-step explanation:

You basically add all the sides:

3 + 3 + 3 + 3 +3 = 15 ft

And if you have to add 12 ft then the answer should be 27 ft in total.

I hope this helped!

Answer:

b = a + 13

Step-by-step explanation:

bc 1 + 13 = 14

Hope this helps !

Answer:

x=2/3

Step-by-step explanation:

25-(3x+5)=2(x+8)+x

25-3x-5=2x+16+x

20-3x=3x+16

20-3x-3x=16

20-6x=16

6x=20-16

6x=4x=4/6

simplify

x=2/3

Answer:

x=2/3

Step-by-step explanation: